351063584820 has 288 divisors, whose sum is σ = 1208204524800. Its totient is φ = 81797050368.

The previous prime is 351063584813. The next prime is 351063584827. The reversal of 351063584820 is 28485360153.

351063584820 is a `hidden beast` number, since 3 + 5 + 1 + 0 + 63 + 584 + 8 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (351063584813) and next prime (351063584827).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351063584827) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66198289 + ... + 66203591.

It is an arithmetic number, because the mean of its divisors is an integer number (4195154600).

Almost surely, 2^351063584820 is an apocalyptic number.

351063584820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351063584820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604102262400).

351063584820 is an abundant number, since it is smaller than the sum of its proper divisors (857140939980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

351063584820 is a wasteful number, since it uses less digits than its factorization.

351063584820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6839 (or 6834 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 351063584820 in words is "three hundred fifty-one billion, sixty-three million, five hundred eighty-four thousand, eight hundred twenty".